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翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Commutative diagram ： ウィキペディア英語版 Commutative diagram In mathematics, and especially in category theory, a commutative diagram is a diagram of objects (also known as ''vertices'') and morphisms (also known as ''arrows'' or ''edges'') such that all directed paths in the diagram with the same start and endpoints lead to the same result by composition. Commutative diagrams play the role in category theory that equations play in algebra (see Barr-Wells, Section 1.7). Note that a diagram may not be commutative, i.e., the composition of different paths in the diagram may not give the same result. For clarification, phrases like "this commutative diagram" or "the diagram commutes" may be used. ==Examples== In the following diagram expressing the first isomorphism theorem, commutativity means that $f\; =\; \backslash tilde\; \backslash circ\; \backslash pi$: Below is a generic commutative square, in which $h\; \backslash circ\; f\; =\; k\; \backslash circ\; g$ 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Commutative diagram」の詳細全文を読む スポンサード リンク 翻訳と辞書 : 翻訳のためのインターネットリソース Copyright(C) kotoba.ne.jp 1997-2016. All Rights Reserved.